Solving a quadratic by completing the square | Part 1

The video tutorial explains how to solve quadratic equations by completing the square. It begins by discussing why factoring is not suitable for certain equations and introduces the method of completing the square. The process involves creating a perfect square trinomial, which can be factored into a binomial squared. The tutorial walks through the steps of adjusting the equation to form a perfect square trinomial, solving the equation using inverse operations, and finding the final solution. The method is demonstrated with a clear example, emphasizing the importance of maintaining balance in the equation.

Why is factoring not suitable for solving the given quadratic equation?

• The equation is linear, not quadratic.

• The equation has no real solutions.

• The equation is already in factored form.

• The numbers do not multiply to give the correct constant term.

What is the first step in creating a perfect square trinomial?

• Ensure the leading coefficient is zero.

• Ensure the leading coefficient is one.

• Add a constant to both sides of the equation.

• Multiply the equation by two.

How do you determine the constant to add inside the parentheses to form a perfect square trinomial?

• Subtract the middle term from the constant term.

• Divide the middle term by two and square it.

• Multiply the middle term by two and square it.

• Add the middle term to the constant term.

What operation is used to solve for the variable after forming a perfect square trinomial?

• Subtraction

• Addition

• Multiplication

• Square root

What must be considered when taking the square root of both sides of the equation?

• Only the positive root

• Only the negative root

• Both positive and negative roots

• Neither root